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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Algorithmic Game Theory

The course is not on the list Without time-table
Code Completion Credits Range Language
XEP36AGT ZK 4 2P+0C+4D
Lecturer:
Tutor:
Supervisor:
Department of Computer Science
Synopsis:

This course extends the knowledge in multiagent systems and game theory by focusing on the algorithmic and computational problems - the computational complexity and current algorithms for finding and approximating different solution concepts, the impact of different representations of games, and the applications of learning techniques in game theory.

The course is suitable for students that have already completed the course on Multiagent Systems (A4M36MAS) and either wish to strengthen their knowledge in game theory, or they are working on related problems from artificial intelligence such as machine learning, decision theory, planning.

Requirements:

It is recommended that students have completed the course on multiagent systems (A4M36MAS) or have knowledge about the game theory corresponding to that course.

Syllabus of lectures:

1. Introduction to Game Theory

2. Fundamental Theorems (von Neumann, Nash, Kuhn)

3. Succinct Representations of Games

4. Finding Nash Equilibria

5. Approximating Nash Equilibria

6. Finding Correlated Equilibria

7. Finding Stackelberg Equilibria

8. Repeated Games

9. Learning and Dynamics in Games

10. Learning in Extensive-Form Games

11. Games of Incomplete Information, Auctions

12. Algorithmic Mechanism Design

13. Mechanisms Without Money

14. Stochastic Games

The structure of the lecutres covers the important algorithmic topics in game theory. Besides attending the lectures, the students are assumed to work on their homework assignments that strenghten the understanding of the topic (4h per week).

Syllabus of tutorials:
Study Objective:
Study materials:

Shoham and Leyton-Brown. „Multiagent Systems“, Cambridge University Press, 2009

Nisan, Roughgarden, Tardos and Vazirani. „Algorithmic Game Theory“, Cambridge University Press, 2007

Maschler, Solan and Zamir. „Game Theory“, Cambridge University Press, 2013

Note:
Further information:
No time-table has been prepared for this course
The course is a part of the following study plans:
Data valid to 2019-10-18
For updated information see http://bilakniha.cvut.cz/en/predmet4801906.html